| ses # | TOPICS | KEY DATES |
|---|---|---|
| 1 |
Velocity and Rates of Change |
|
| 2 | Slope and Derivative Limits and Continuity |
|
| 3 | Differentiation Formulas: Products and Quotients | |
| 4 | Chain Rule and Implicit Differentiation | |
| 5 | The Derivatives of Exponential and Logarithm Functions | Problem set 1 due |
| 6 | The Derivatives of Trigonometric Functions | |
| 7 | Review for Exam 1 | |
| Unit 1 Exam | ||
| 8 | Approximations Mean Value Theorem |
|
| 9 | Curve Sketching | |
| 10 | Max-Min Problems | Problem set 2 due |
| 11 | Related Rates | |
| 12 | Inequalities, Zeros, and Newton's Method | |
| Unit 2 Exam | ||
| 13 | Differentials and Indefinite Integrals | |
| 14 | Definite Integrals | Problem set 3 due |
| 15 | The Fundamental Theorem of Calculus | |
| 16 | Properties of Definite Integrals | |
| 17 | Differential Equations and Separation of Variables | Problem set 4 due |
| 18 | Numerical Integration and Review of Unit 3 | |
| Unit 3 exam | ||
| 19 | Areas between Curves, Volumes of Revolutions, and Slicing | |
| 20 | Volumes by Shells and Average Values | |
| 21 | Parametric Equations and Arc Length | |
| 22 | Surface Area and Polar Coordinate Graphs | Problem set 5 due |
| 23 | Area and Arc Length in Polar Coordinates | |
| Unit 4 Exam | ||
| 24 | Inverse Trigonometric Functions and Hyperbolic Functions | |
| 25 | Integration by Inverse Substitution | |
| 26 | Integration by Partial Fractions | Problem set 6 due |
| 27 | Integration by Parts | |
| Unit 5 Exam | ||
| 28 | Indeterminate Forms and L'Hospital's Rule | |
| 29 | Improper Integrals | Problem set 7 due |
| 30 | Infinite Series | |
| 31 | Power Series | |
| 32-33 | Final Review | Problem set 8 due in Ses #32 |
